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2012.29: K-theory and the connection index

2012.29: Tayyab Kamran and Roger Plymen (2012) K-theory and the connection index.

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Abstract

Let G denote a split simply connected almost simple p-adic group. The classical example is the special linear group SL(n). We study the K-theory of the unramified unitary principal series of G and prove that the rank of K_0 is the connection index f(G). We relate this result to a recent refinement of the Baum-Connes conjecture, and show explicitly how generators of K_0 contribute to the K-theory of the Iwahori C*-algebra.

Item Type:MIMS Preprint
Uncontrolled Keywords:Local field, p-adic group, connection index, K-theory
Subjects:MSC 2000 > 19 K-theory
MSC 2000 > 22 Topological groups, Lie groups
MIMS number:2012.29
Deposited By:Professor Roger Plymen
Deposited On:19 February 2012

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